Difference matrices with five rows over finite abelian groups
DOI10.1007/s10623-021-00981-6zbMath1485.05018OpenAlexW4221118599WikidataQ114849851 ScholiaQ114849851MaRDI QIDQ2115723
Rong Pan, Yudhistira A. Bunjamin, Tiana J. Tsang Ung, Tao Feng, R. Julian R. Abel, Xiao Miao Wang
Publication date: 21 March 2022
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-021-00981-6
Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Other designs, configurations (05B30) Orthogonal arrays, Latin squares, Room squares (05B15) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)
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- A note on difference matrices over non-cyclic finite abelian groups
- Reduction of the Hall-Paige conjecture to sporadic simple groups.
- On difference matrices, resolvable transversal designs and generalized Hadamard matrices
- On difference matrices and regular latin squares
- Generalized Bhaskar Rao designs and dihedral groups
- Constructions for optimal optical orthogonal codes
- Directed-ordered whist tournaments and \((v,5,1)\) difference families: Existence results and some new classes of \(Z\)-cyclic solutions
- Semi-cyclic holey group divisible designs with block size three
- The Hall-Paige conjecture, and synchronization for affine and diagonal groups
- New \(\mathbb{Z}\)-cyclic triplewhist frames and triplewhist tournament designs
- The admissibility of sporadic simple groups.
- Some difference matrix constructions and an almost completion for the existence of triplewhist tournaments TWh(\(v\)).
- Cyclic difference packing and covering arrays.
- On (\(g\), 4; 1)-difference matrices
- $(m\kern -1pt,n\kern -1pt,3\kern -1pt,1)$ Optical Orthogonal Signature Pattern Codes With Maximum Possible Size
- Orthomorphisms of Groups and Orthogonal Latin Squares. I
- 6. A new structure for difference matrices over abelian p-groups
- On orthogonal orthomorphisms of cyclic and non-abelian groups. II
- Concerning eight mutually orthogonal latin squares
- Super-simple holey Steiner pentagon systems and related designs
- Concerning seven and eight mutually orthogonal Latin squares
- Constructions for optimal (υ, 4, 1) optical orthogonal codes
- Orthomorphisms and the construction of projective planes
- Existence of Five MOLS of Orders 18 and 60
- Quintessential PBDs and PBDs with prime power block sizes ≥ 8
- Complete mappings of finite groups
- Orthomorphism graphs of groups
- On orthogonal orthomorphisms of cyclic and non-Abelian groups
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